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yanalaym [24]
2 years ago
15

Create and solve a system of equations and solve for x and y.

Mathematics
1 answer:
Helga [31]2 years ago
8 0

Answer:

Step-by-step explanation: x+4-5=y

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What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]?
nika2105 [10]

Answer:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.

Step-by-step explanation:

Given:

f(x)=x^5-10x^3+9x; [-3,3]

Explanation:

In order to find minimum/maximum of a function, we need to find the first derivative of the function and then set it equal to 0 to get critical points.

Therefore,

f'(x)=5x^4-30x^2+9

Setting derivative equal to 0, we get

5x^4-30x^2+9=0

On applying quadratic formula, we get

x=2.4, -2.4, -0.7, 0.7.

So, those are critical points of the given function.

Plugging the values x=2.4, -2.4, -0.7, 0.7, -3 and 3 in above function, we get

f(2.4)=(2.4)^5-10(2.4)^3+9(2.4)= -37.01376   : Minimum.

f(-2.4)=(-2.4)^5-10(-2.4)^3+9(-2.4)= 37.01376 : Maximum.

f(0.7)=(0.7)^5-10(0.7)^3+9(0.7) = 3.03807

f(-0.7)=(-0.7)^5-10(-0.7)^3+9(-0.7) = -3.03807

f(-3)=(-3)^5-10(-3)^3+9(-3) =0

f(3)=(3)^5-10(3)^3+9(3) =0

Therefore the approximate values of the minimum and maximum points of f(x) = x^5- 10x^3+ 9x on [-3,3] are:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.


7 0
3 years ago
Solve 5t= 150 by using an inverse operation
Taya2010 [7]

Answer:

T=30

Step-by-step explanation:

1) inverse mean opposite, so they want us to solve this equation using the opposite operation

So we can see here that 5 is being multiplied with t, so we should perform the opposite operation, division.

So

5t=150

(divide both sides by 5)

T=30

Hope this helps

5 0
3 years ago
Sam borrowed $2,000,000 for a
Daniel [21]

The total amount Sam will pay in all will be $2,400,000

<h3>Simple interest </h3>

From the question, we are to determine the interest Sam pays in all

Using the simple interest formula,

I = PRT

From the given information,

P = $2,000,000

R = 5% = 0.05

T = 4

Putting the parameters into the formula,

I = $2000000 × 0.05 × 4

I = $400000

The interest Sam will pay is $400,000

The total amount Sam will pay in all will be $2,000,000 + $400,000

= $2,400,000

Hence, the total amount Sam will pay in all will be $2,400,000

Learn more on Simple interest here: brainly.com/question/16134508

#SPJ1

4 0
2 years ago
-56.72 divided by -8
katrin2010 [14]

Answer:

7.09

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Kesley is thinking of a number. She says that it’s the sum of a number and nine. Multiplied by 2/3, is equal to -18.
Aliun [14]

Answer:

Only the firsts and fourth choices (\frac{2}{3}(x+9)=-18 and \frac{2}{3}x+6=-18)

Step-by-step explanation:

Turn the equation into words:

"A number plus 9"

(x+9)

"Multiplied by \frac{2}{3}"

\frac{2}{3} (x+9)

"Is equals to -18"

\frac{2}{3}(x+9)=-18

Distribute to find the second equation:

\frac{2}{3}(x+9)=-18\\\frac{2}{3}x+6=-18

7 0
2 years ago
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